Multi-resolution analysis in arbitrary Hilbert spaces

Fabio Bagarello

Multi-resolution analysis in arbitrary Hilbert spaces

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss the possibility of introducing a multi-resolution in a Hilbert space which is not necessarily a space of functions. We investigate which of the classical properties can be translated to this more general framework and the way in which this can be done. We comment on the procedure proposed by means of many examples.

Original language	English
Pages (from-to)	299-315
Number of pages	17
Journal	IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B
Volume	116
Publication status	Published - 2001

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

Access to Document

Fingerprint Dive into the research topics of 'Multi-resolution analysis in arbitrary Hilbert spaces'. Together they form a unique fingerprint.

Cite this

@article{cf5c61adb9a3495b9a92261e836f21c7,

title = "Multi-resolution analysis in arbitrary Hilbert spaces",

abstract = "We discuss the possibility of introducing a multi-resolution in a Hilbert space which is not necessarily a space of functions. We investigate which of the classical properties can be translated to this more general framework and the way in which this can be done. We comment on the procedure proposed by means of many examples.",

author = "Fabio Bagarello",

year = "2001",

language = "English",

volume = "116",

pages = "299--315",

journal = "Nuovo Cimento della Societa Italiana di Fisica B",

issn = "1594-9982",

publisher = "Editrice Compositori s.r.l.",

}

TY - JOUR

T1 - Multi-resolution analysis in arbitrary Hilbert spaces

AU - Bagarello, Fabio

PY - 2001

Y1 - 2001

N2 - We discuss the possibility of introducing a multi-resolution in a Hilbert space which is not necessarily a space of functions. We investigate which of the classical properties can be translated to this more general framework and the way in which this can be done. We comment on the procedure proposed by means of many examples.

AB - We discuss the possibility of introducing a multi-resolution in a Hilbert space which is not necessarily a space of functions. We investigate which of the classical properties can be translated to this more general framework and the way in which this can be done. We comment on the procedure proposed by means of many examples.

UR - http://hdl.handle.net/10447/195446

UR - https://www.sif.it/riviste/sif/ncb/econtents/2001/116/03/article/6

M3 - Article

VL - 116

SP - 299

EP - 315

JO - Nuovo Cimento della Societa Italiana di Fisica B

JF - Nuovo Cimento della Societa Italiana di Fisica B

SN - 1594-9982

ER -